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Finding the Fourth Proportional to 13,831.50, 20,747.61 and 4,597.50

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Solution

The fourth proportional to 13,831.50, 20,747.61 and 4,597.50 is: 6,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.50 : 20,747.61 = 4,597.50 : x
  2. Step 2: Convert to fraction form
    13,831.50/20,747.61 = 4,597.50/x
  3. Step 3: Cross multiply
    13,831.50x = 20,747.61 × 4,597.50
  4. Step 4: Simplify right side
    13,831.50x = 95,387,136.98
  5. Step 5: Solve for x
    x = 95,387,136.98/13,831.50
  6. Step 6: Final answer
    x = 6,896.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.